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Finding the Fourth Proportional to 213,282.60, 319,677.84 and 80,077.89

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Solution

The fourth proportional to 213,282.60, 319,677.84 and 80,077.89 is: 120,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,282.60 : 319,677.84 = 80,077.89 : x
  2. Step 2: Convert to fraction form
    213,282.60/319,677.84 = 80,077.89/x
  3. Step 3: Cross multiply
    213,282.60x = 319,677.84 × 80,077.89
  4. Step 4: Simplify right side
    213,282.60x = 25,599,126,906.96
  5. Step 5: Solve for x
    x = 25,599,126,906.96/213,282.60
  6. Step 6: Final answer
    x = 120,024.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.